**Core Concept**
Lysosomes are membrane-bound organelles containing digestive enzymes responsible for cellular digestion and recycling. They play a crucial role in autophagy, cellular homeostasis, and the degradation of cellular waste and foreign particles.

**Why the Correct Answer is Right**
Lysosomes fuse with autophagosomes to form autolysosomes, where the engulfed cellular components are degraded by lysosomal enzymes. This process, known as autophagy, is essential for maintaining cellular homeostasis, recycling damaged or dysfunctional cellular components, and regulating cellular growth and development. The acidic environment of lysosomes, maintained by the proton pump (V-ATPase), activates lysosomal enzymes and facilitates the breakdown of cellular waste.

**Why Each Wrong Option is Incorrect**
**Option A:** While lysosomes do contain digestive enzymes, they are not primarily involved in the process of apoptosis, which is a programmed cell death process mediated by caspases and other signaling pathways.
**Option B:** Lysosomes are not directly involved in the process of protein synthesis, which occurs on ribosomes.
**Option C:** While lysosomes do contribute to cellular digestion, they are not primarily involved in the process of cellular respiration, which occurs in the mitochondria.

**Clinical Pearl / High-Yield Fact**
Lysosomal storage disorders, such as Tay-Sachs disease and Pompe disease, result from deficiencies in lysosomal enzymes, leading to the accumulation of toxic cellular waste and progressive cellular damage.

**Correct Answer:** C.